MinT - Information on Result #2759588

Information on Result #2759588

Linear OOA(2¹¹⁰, 38, F₂, 4, 57) (dual of [(38, 4), 42, 58]-NRT-code), using strength reduction based on linear OOA(2¹¹⁰, 38, F₂, 4, 58) (dual of [(38, 4), 42, 59]-NRT-code), using

constructionÂ X applied to AG(4;F,69P) âŠ‚ AG(4;F,81P) [i] based on
1. linear OOA(2⁹⁷, 32, F₂, 4, 58) (dual of [(32, 4), 31, 59]-NRT-code), using algebraic-geometric NRT-code AG(4;F,69P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁸⁵, 32, F₂, 4, 46) (dual of [(32, 4), 43, 47]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
3. linear OOA(2¹³, 6, F₂, 4, 11) (dual of [(6, 4), 11, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,12P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.